Study of Betatron Oscillations in a Constant Field of the Alternating Gradient Accelerator; ETUDE DES OSCILLATIONS BETATRON DANS L'ACCELERATEUR A CHAMP FIXE ET A GRADIENT ALTERNE
The conditions for the stability of a constant energy particle beam circulating in the magnetic field of the FFAG accelerator are studied. The equations for the equilibrium orbit, the low amplitude oscillations, and the amplitude stability limits of the beam are derived using approximation methods. The precision of the theoretical results were checked by computer calculations. The parameters were systematically varied to clarify the mechandism of the amplitude variations of the trajectories. For the radial sector model, the possibility of introducing magnetic field free zones is considered. The case of short straight sections, respecting the field periodicity, and that of long straight sections creating super-periods are also examined. Solutions that should lead to a practical machine are given for the two cases. (auth)
- Research Organization:
- France. Commissariat a l'Energie Atomique. Centre d'Etudes Nucleaires, Saclay
- NSA Number:
- NSA-17-042008
- OSTI ID:
- 4684852
- Report Number(s):
- CEA-2279
- Resource Relation:
- Other Information: Thesis submitted to Universite, Paris. Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- France
- Language:
- English
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